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Finding the Third Proportional to 155,496 and 334,770

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Solution

The third proportional to 155,496 and 334,770 is: 720,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,496 : 334,770 = 334,770 : x
  2. Step 2: Convert to fraction form
    155,496/334,770 = 334,770/x
  3. Step 3: Cross multiply
    155,496x = 334,770 × 334,770
  4. Step 4: Simplify right side
    155,496x = 112,070,952,900
  5. Step 5: Solve for x
    x = 112,070,952,900/155,496
  6. Step 6: Final answer
    x = 720,732.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.